关键词: 仿射点列, 3D 造型, 双曲抛物面, 截交线

Abstract: This article constructs three-dimensional hyperbolic paraboloid based on spatial
affine point ranges using the computer 3D software. From the projection in different directions on
hyperbolic paraboloid，a series of projection drawing in different directions and angles of the
hyperbolic paraboloid can be acquired. The characteristics of the projection drawing of the
hyperbolic paraboloid are understood more directly and clearly from these projections. By using a
number of planes of different locations to cut the hyperbolic paraboloid and by analyzing and
observing the trend of intersection lines, several conclusions of regularity are obtained.

Key words: affine point ranges, 3D modeling, hyperbolic paraboloid, intersection line